Regular elements of the complete semigroups of binary relations of the class ?7(X, 8)

[ X ]

Tarih

2013

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper let Q = {T1, T2, T3, T 4, T5, T6, T7, T8} be a subsemilattice of X-semilattice of unions D where T1 ? T 2 ? T3 ? T5 ? T6 ? T8, T1 ? T2 ? T3 ? T5 ? T7 ? T8, T1 ? T2 ? T4 ? T5 ? T6 ? T8, T1 ? T2 ? T4 ? T5 ? T7 ? T8, T1 ? ?, T4\T3 ? ?, T3\T4 ? ?, T6\T7 ? ?, T7\T 6 ? ?, T3 ? T4 = T5, T6 ? T7 = T8, then we characterize the class each element of which is isomorphic to Q by means of the characteristic family of sets, the characteristic mapping and the generate set of Q. Moreover, we calculate the number of regular elements of BX(D) for a finite set X. © 2013 Academic Publications, Ltd.

Açıklama

Anahtar Kelimeler

Binary relation; Regular elements; Semigroups

Kaynak

International Journal of Pure and Applied Mathematics

WoS Q Değeri

Scopus Q Değeri

N/A

Cilt

86

Sayı

1

Künye